A scorned husband caught his wife and her lover having sex in a parked car in Brooklyn — and stabbed them both to death before stuffing the woman’s nude body in the trunk, police sources said Thursday.

Jerome Barrett, 35, and Jonelle Barker, 36, left their baggage-handling jobs at JFK airport early Wednesday to hook up in the man’s 2009 Kia near the Starrett City apartment complex, sources said.

But they were interrupted at 1 a.m. by Barker’s husband, Steven Whittingham, 48, who arrived with a large kitchen knife, sources said.

Whittingham allegedly chased Barrett into a building where he stabbed him more than 20 times, sources said. He allegedly also repeatedly stabbed his wife before turning himself in to police, sources said.